manim graph plot :

 

 

%%manim -qm -v WARNING TangentLineExample

class TangentLineExample(Scene):
    def construct(self):
        self.camera.background_color=WHITE


        axes = Axes(
            x_range=[-10, 10, 1],
            y_range=[-2, 6, 1],
            tips=True,
            axis_config={"include_numbers": True},

        )
        axes.set_color(BLUE)
        graph=axes.plot(lambda x: x**2,x_range=[-2,2])
        graph.set_color(BLUE) 

        c=ValueTracker(1)
        line_1=always_redraw(lambda: TangentLine(graph,alpha=c.get_value(),length=4,color=MAROON))
        p=ValueTracker(0)
        graph_2=always_redraw(lambda:axes.plot(lambda x: (x-p.get_value())**2,x_range=[-2,4],color=MAROON))    
        
        group=VGroup( axes, graph, line_1, graph_2)
        self.add(group)
        self.play(Write(group)) #animation
        
        self.play(c.animate.set_value(0),run_time=4)
        self.play(p.animate.set_value(2),run_time=4)